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A Poroelastic Mindlin‐Plate
Author(s) -
Busse Anke,
Schanz Martin,
Antes Heinz
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310402
Subject(s) - poromechanics , biot number , plate theory , vibration , finite element method , structural engineering , mechanics , materials science , mathematics , porous medium , porosity , engineering , physics , composite material , acoustics
The numerical treatment of noise insulation of solid walls has been an object of scientific research for many years. The main noise source is the bending vibration of the walls usually modeled as plates. Generally, walls consist of porous material, for instance concrete or bricks. Therefore, a poroelastic plate theory is necessary. A theory of dynamic poroelasticity was developed by Biot using the solid displacements and the pore pressure as unknowns. After formulating the poroelastic theory for thick plates, Mindlin's theory, a variational principle for this poroelastic thick plate model is developed. This is the basis of a Finite Element formulation.